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Finding the Fourth Proportional to 376,233.46, 564,403.14 and 110,014

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Solution

The fourth proportional to 376,233.46, 564,403.14 and 110,014 is: 165,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,233.46 : 564,403.14 = 110,014 : x
  2. Step 2: Convert to fraction form
    376,233.46/564,403.14 = 110,014/x
  3. Step 3: Cross multiply
    376,233.46x = 564,403.14 × 110,014
  4. Step 4: Simplify right side
    376,233.46x = 62,092,247,043.96
  5. Step 5: Solve for x
    x = 62,092,247,043.96/376,233.46
  6. Step 6: Final answer
    x = 165,036.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.